# Scientific notation and standard form classnotes.

## Transcription

Scientific notation and standard form classnotes.
```Scientific notation and standard form classnotes.
`
Writing and understanding numbers in
scientific notation
The diameter of a coin measures from one end of the coin to the other going through the centre of the coin.
Measure the diameter of each coin in millimetres and convert them to centimetres.
Scientific notation and standard form classnotes.
Scientific notation and standard form classnotes.
1.7cm = 17mm
1.6cm = 16mm
2cm = 20mm
2.4cm = 24mm
2.2cm = 22mm
2.5cm = 25mm
Scientific notation and standard form classnotes.
Another way to convert centimeters into millimeters is to take the centimeters and multiply it by 10.
Scientific notation and standard form classnotes.
What does the mnemonic
MVEMJSUNP
stand for?
Scientific notation and standard form classnotes.
What does this mnemonic stand for?
MVEMJSUNP
Scientific notation and standard form classnotes.
5.791 x 107
57 910 000
8
1.082 x 10
108 200 000
1.496 x 108
149 600 000
8
2.2794 x 10
227 940 000
8
778 330 000 7.7833 x 10
9
1.4294 x 10
1 429 400 000
9
2 870 990 000 2.87099 x 10
9
4.5043 x 10
4 504 300 000
9
5 913 520 000 5.91352 x 10
Scientific notation and standard form classnotes.
Scientific notation
Mercury is 57 910
away from the sun.
000 km
7
5.791
x
10
This can also be written as
Explain how this happens?
32 000 000 watched the 1966 world cup.
Write this in scientific notation
3.2 x 107
Scientific notation and standard form classnotes.
The probability of winning the
1
/14 million
or 0.000 000 071
This can also be written as 7.1
-8
x 10
Explain how this happens?
The radius of a human hair is 0.053mm
Write this in scientific notation
5.3 x 10-2
Scientific notation and standard form classnotes.
Scientific notation
Very large or very small numbers can be written in scientific notation like this.
a x 10
a x 10
∨
1≤ a 10
n
n
integer
(positive or negative)
Scientific notation and standard form classnotes.
Write these in
scientific notation
950 =
0.487 =
64800 =
7420 =
0.016 =
Write these as
ordinary numbers
2
3.5x 10 =
4.67x 10-3 =
7.6x 103 =
8.65x 10-4 =
-1
1.05 x 10 =
Scientific notation and standard form classnotes.
Write these in Answers Write these as
scientific notation
ordinary numbers
950 =
0.487 =
64800 =
9.5 x 10
2
3.5x 10 =
2
4.87 x 10-1
6.48 x 10
4.67x 10-3 = 0.00467
4
7.6x 103 =
3
8.65x 10-4 = 0.000865
7420 =
7.42 x 10
0.016 =
-2
1.6 x 10
350
-1
7600
1.05 x 10 =
0.105
Scientific notation and standard form classnotes.
Calculating with scientific notation
Write the following in scientific notation:
1) 367
2) 25000
3) 0.06
4) 0.00376
Write the following as an ordinary number:
2
5) 4 x 10
6) 6.21 x 105
7) 3 x 10-1
8) 5.32 x 10-9
Scientific notation and standard form classnotes.
Using the example to help you, fill in the four missing blanks.
7 x109= Population of the world is around 7 billion written out as 7,000,000,000
1.08 x109= Approximate speed of light is 1080 million km per hour or 1,080,000,000 km per hour
9.3 x107= Distance from the Earth to the sun is 93 million miles or 93,000,000 miles
2.4 x10­3= Diameter of a grain of sand is 24 ten­
thousandths inch or .0024 inch
9.1093822×10­31= Mass of an electron is 0.00000000000000000000000000000091093822 kg
Scientific notation and standard form classnotes.
Write the following in standard form.
x 105 dreams
have 1.0439
104,390
have 1.256
1256
1.2320575
108 words
speak 123,
205,x750
x 105 times
laugh 4.35265
435,265
x 103 friendships
make 1.7
1700
x 104 chocolate bars
eat 1.0354
10,354
eat 3.5
35,000
x 105 times
visit the toilet 1.74105
174,105
x 104 litres of gas from breaking wind
produce 3.5815
35,815
Scientific notation and standard form classnotes.
Find a unique fascinating fact.
Write it in scientific notation and standard
form.
Begin the circle with "Did you know..."
Hang it on the washing line.
When you have finished,
start the review questions on the next slides.
Scientific notation and standard form classnotes.
Mika and Kiran are disputing between how to write a number
using scientific notation.
They both know the formula
a x 10
n
Their teacher asks them to write the following in
scientific notation
65 984 000
and to write the following as an ordinary number
3.458 x 10-2
Mika writes
Kiran writes
65. 984 x 10
0.03458
6
6.5 x 10
345.8
What do you think?
7
Scientific notation and standard form classnotes.
a x 10
Write in scientific notation
Write as ordinary numbers
n
Scientific notation and standard form classnotes.
a x 10
n
Write in scientific notation
2.5x 102
3.45x 10
3.46x 10
2.0789x 10-2
Write as ordinary numbers
250
3400 000 000
0.345
20 780 000 000
3)
3, 281581 , 1382101
4)
93 000, 12 980 000, 2 997 000 000
4.67x 10-3
5.678x 103
46700
0.0005678
Scientific notation and standard form classnotes.
Change these numbers into scientific notation
Scientific notation and standard form classnotes.
Scientific notation and standard form classnotes.
Scientific notation and standard form classnotes.
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